Exact non-equilibrium solutions of the Einstein-Boltzmann equations. II

F. P. Wolvaardt*, Roy Maartens

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review


We find exact solutions of the Einstein-Boltzmann equations with relaxational collision term in FRW and Bianchi I spacetimes. The kinematic and thermodynamic properties of the solutions are investigated. We give an exact expression for the bulk viscous pressure of a FRW distribution that relaxes towards collision-dominated equilibrium. If the relaxation is toward collision-free equilibrium, the bulk viscosity vanishes - but there is still entropy production. The Bianchi I solutions have zero heat flux and bulk viscosity, but non-zero shear viscosity. The solutions are used to construct a realization of the Weyl curvature hypothesis.

Original languageEnglish
Pages (from-to)535-547
Number of pages13
JournalClassical and Quantum Gravity
Issue number2
Publication statusPublished - 1 Feb 1997


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